{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 插值与拟合"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from scipy.optimize import fsolve\n",
    "import numpy as np\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.interpolate import interp1d\n",
    "from scipy.interpolate import CubicSpline\n",
    "\n",
    "x = np.linspace(-10, 10, 40)\n",
    "y = np.sin(x) + np.random.normal(loc=0, scale=0.05, size=x.shape)\n",
    "xx = np.linspace(-10, 10, 1000)\n",
    "\n",
    "fig = plt.figure(figsize=(15, 5))\n",
    "plt.scatter(x, y, c='r', label='Raw Data')\n",
    "# kind是表示几次插值. 取3时, 与CubicSpline(三次样条插值无边界条件)效果一样\n",
    "kind = 5\n",
    "In = interp1d(x, y, kind=kind)\n",
    "plt.plot(xx, In(xx), c='b', label='Interpolated Curve of {}'.format(kind))\n",
    "CS = CubicSpline(x, y)\n",
    "plt.plot(xx, CS(xx), c='orange', label='Cubic Spline')\n",
    "plt.plot(xx, np.sin(xx), c='g', label='Standard Curve')\n",
    "plt.ylabel('x')\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
